Question

Find scalars r and s such that w=ru + sv is a unit vector parallel to <1,1>, where u=<-1,1> and v=<1,2>

Answer 1

My teacher told me that it would first most useful to find the unit vector first and then deal with the scalars

Answer 2

I am not sure exactly how to come up with that unit vector. I know the formula for a unit vector is

Answer 3

e= v/ ||v|| with v being a vector. (Sorry, its not letting me draw or add equations)

Answer 4

I used <1,1> in the unit vector equation but i'm not sure if that was correct or what even to do with that